GCF and LCM Calculator Logo

What is the Least Common Multiple of 67962 and 67970?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 67962 and 67970 is 2309688570.

LCM(67962,67970) = 2309688570

LCM Calculator and
and

Least Common Multiple of 67962 and 67970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67962 and 67970, than apply into the LCM equation.

GCF(67962,67970) = 2
LCM(67962,67970) = ( 67962 × 67970) / 2
LCM(67962,67970) = 4619377140 / 2
LCM(67962,67970) = 2309688570

Least Common Multiple (LCM) of 67962 and 67970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67962 and 67970. First we will calculate the prime factors of 67962 and 67970.

Prime Factorization of 67962

Prime factors of 67962 are 2, 3, 47, 241. Prime factorization of 67962 in exponential form is:

67962 = 21 × 31 × 471 × 2411

Prime Factorization of 67970

Prime factors of 67970 are 2, 5, 7, 971. Prime factorization of 67970 in exponential form is:

67970 = 21 × 51 × 71 × 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 67962 and 67970.

LCM(67962,67970) = 21 × 31 × 471 × 2411 × 51 × 71 × 9711
LCM(67962,67970) = 2309688570